(a) Write down the binomial expansion of (1+y)^8. Simplifying all terms. (b) Use the substitution y=x-x^2 in (a) to deduce the expansion of (1 x-x^2) in ascending powers of x as far as the term in x^4. (c) Find by inspection q, the value of x such that 1+x-x^2=1.09 and hence evaluate 1.09^8, correct to 3 decimal places